Greatest Common Factor of 7170 and 7175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 7170, 7175 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7170 and 7175 is 5.

GCF(7170,7175) = 5

GCF of 7170 and 7175

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7170 and 7175

GCF of 7170 and 7175 is 5

Prime Factorization of 7170


2 7170
3 3585
5 1195
239 239
1

Prime factors of 7170 are 2,3,5,239. Prime factorization of 7170 in exponential form is:

7170 = 21×31×51×2391

Prime Factorization of 7175


5 7175
5 1435
7 287
41 41
1

Prime factors of 7175 are 5,7,41. Prime factorization of 7175 in exponential form is:

7175 = 52×71×411

∴ So by taking common prime factors GCF of 7170 and 7175 is 5

Greatest Common Factor of 7170 and 7175 by matching factors method

Factors of 7170

List of positive integer factors of 7170 that divides 7170 without a remainder.

1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170

Factors of 7175

List of positive integer factors of 7175 that divides 7175 without a remainder.

1,5,7,25,35,41,175,205,287,1025,1435,7175

Greatest Common Factor

We found the factors and prime factorization of 7170 and 7175. The biggest common factor number is the GCF number.
So the greatest common factor 7170 and 7175 is 5.

Also check out the Least Common Multiple of 7170 and 7175

Properties of GCF 7170 and 7175

(i) The GCF of 7170 and 7175 is associative

GCF of 7170 and 7175 = GCF of 7175 and 7170

Related Greatest Common Factor of 7170

Related Greatest Common Factor of 7175

Frequently Asked Questions on GCF of 7170 and 7175

1. What is the GCF of 7170 and 7175?

Answer: GCF of 7170 and 7175 is 5.

2. What are the Factors of 7170?

Answer: Factors of 7170 are 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170. There are 16 integers that are factors of 7170. The greatest factor of 7170 is 7170.

3. What are the Factors of 7175?

Answer: Factors of 7175 are 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175. There are 12 integers that are factors of 7175. The greatest factor of 7175 is 7175.

4. How to Find the GCF of 7170 and 7175?

Answer:

Greatest Common Factor of 7170 and 7175 = 5

Step 1: Find the prime factorization of 7170

7170 = 2 x 3 x 5 x 239

Step 2: Find the prime factorization of 7175

7175 = 5 x 5 x 7 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 7170 and 7175 is 5